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Finding the Fourth Proportional to 2,726.82, 3,763.92 and 1,943.15

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Solution

The fourth proportional to 2,726.82, 3,763.92 and 1,943.15 is: 2,682.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,726.82 : 3,763.92 = 1,943.15 : x
  2. Step 2: Convert to fraction form
    2,726.82/3,763.92 = 1,943.15/x
  3. Step 3: Cross multiply
    2,726.82x = 3,763.92 × 1,943.15
  4. Step 4: Simplify right side
    2,726.82x = 7,313,842.33
  5. Step 5: Solve for x
    x = 7,313,842.33/2,726.82
  6. Step 6: Final answer
    x = 2,682.19

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.